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Question

Calculate the area of the parallelogram when adjacent sides are given by the vectors A = ^i + 2^j + 3^k and B = 2^i 3^j + ^k


A

195 sq unit

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B

sq unit

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C

0

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D

sq unit

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Solution

The correct option is D

sq unit


We know that the area of the parallelogram is equal to the magnitude of the cross product of given vectors.

Now,
A×B=∣ ∣ ∣^i^j^k123231∣ ∣ ∣=^i(2+9)+^j(61)+^k(34)=11^i+5^j7^kSo area of parallelogram :|A×B|=112+52+(7)2=195sq.unit


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